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Finding the Fourth Proportional to 172,876.44, 238,568.60 and 100,294.02

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Solution

The fourth proportional to 172,876.44, 238,568.60 and 100,294.02 is: 138,405.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,876.44 : 238,568.60 = 100,294.02 : x
  2. Step 2: Convert to fraction form
    172,876.44/238,568.60 = 100,294.02/x
  3. Step 3: Cross multiply
    172,876.44x = 238,568.60 × 100,294.02
  4. Step 4: Simplify right side
    172,876.44x = 23,927,003,939.77
  5. Step 5: Solve for x
    x = 23,927,003,939.77/172,876.44
  6. Step 6: Final answer
    x = 138,405.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.